Final answer:
A double integral is used to find the integral over an area in two dimensions. To calculate a double integral, you first need to sketch the domain of integration and determine the orientation. Then, you can set up the integral and calculate it by iteratively integrating with respect to each variable.
Step-by-step explanation:
A double integral is used to find the integral over an area in two dimensions. To calculate a double integral, you first need to sketch the domain of integration and determine the orientation. Then, you can set up the integral and calculate it by iteratively integrating with respect to each variable.
For example, if you have the function f(x, y) and the domain of integration is a rectangle, you can set up the double integral as int int f(x, y) dA, where dA represents the differential area element.
After setting up the integral, you can evaluate it by iteratively integrating with respect to x and y, using the limits of integration determined by the domain.
Then, you can set up the integral and calculate it by iteratively integrating with respect to each variable.